Aharonov–Bohm effect in noncommutative spaces

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• 作者：Chaichian ; M. ; Pre&scaron ; najder ; P. ; Sheikh-Jabbari ; M.M. ; Tureanu ; A.
• 关键词：11.15.-q ; 11.30.Er ; 11.25.Sq
• 刊名：Physics Letters B
• 出版年：2002
• 出版时间：February 14, 2002
• 年：2002
• 卷：527
• 期：1-2
• 页码：149-154
• 全文大小：78.7 K

文摘

The Aharonov–Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.